Download Name: - Brain Based Algebra 1 in Irving ISD

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EQUATIONS AND WORD PROBLEMS
Solve each equation for the variable. Make sure that you show all of your work.
1. 2x – 3 = 5x + 4
2. 2.1x + 0.7 = 2.8
3. 2x – 5 = 3x – 8
4. 0.5x + 3 = (2/3)x
5. 5 – 3x = -2x
6. 2x – 7 + 3x = 5 + 5x
7. 3x – 3 + 2x = 0
8. 5x + 3 = 7x
9. 5x – 2 + 7 = 6x + 5 – x
Set up equations to solve the following problems.
10. The length of a rectangle is 18 inches longer than it is wide. The perimeter of the
rectangle is 244 inches. What is the width of the rectangle?
11. The perimeter of a square is 42 inches. Find the length of each side of the square.
12. The perimeter of a rectangle is 150 cm. The length is 9 cm more than the width.
Find the dimensions of the rectangle.
13. Ten more than twice a number is 36. Find the number.
14. Five less than three times a number is 22. Find the number.
15. The sum of a number and 20 is -6.
16. Hector is five years older than Josefa. If their ages add up to 57, find Hector’s age.
17. Amy is twice as old as Pete. If their ages add up to 36, find their ages.
18. Together, a necklace and a bracelet cost $192. Find the price of each if the necklace costs
3 times as much as the bracelet.
19. In the championship game, Julius scored 5 points less than Kareem, and Wilt scored 1
point more than twice as many as Kareem. If they scored 52 points together, how many points
were scored by each player?
20. Jack’s bowling score is 20 less than 3 times Jill’s score. The sum of their scores is 220.
Find the score of each.
Distributive
Associative
Name the property that each equation illustrates.
21.
83 + 6 = 6 + 83
22. 8 + x = x + 8
23. 2 • 4y = 4y • 2
24. (8 • 7) • 6 = 8 • (7 • 6)
25. 7 + (8 + 15) = (7 + 8) + 15
26. x + y = y + x
27. 16 + 0 = 16
28. 7(3 + 4y) = 21 + 28y
29. rw = wr
30. 9 • 1 = 9
Solve for x.
31.
2 4

x 10
32.
9
12

4.5 x
33.
10
x

7 42
34.
1
3 1
x 
2
4 3
35. -2(x – 1) = -20
36.
x  3 10

2
4
Commutative
Identity